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Question
solve using substitution.
-5x + 2y = 5
-9x + y = -4
(□, □)
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solve linear equations with variables on both sides
is (x, y) a solution to the system of equations?
lesson: systems of equations
Step1: Isolate y in second equation
$y = 9x - 4$
Step2: Substitute y into first equation
$-5x + 2(9x - 4) = 5$
Step3: Simplify and solve for x
$-5x + 18x - 8 = 5$
$13x = 13$
$x = 1$
Step4: Substitute x to find y
$y = 9(1) - 4 = 5$
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$(1, 5)$